Details

Time bar (total: 19.6s)

sample714.0ms

Algorithm
halfpoints
Results

simplify490.0ms

Calls
1 calls:
Slowest
490.0ms
(/.p16 (+.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c)))) a)

prune64.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize322.0ms

Local error

Found 4 expressions with local error:

1.7b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.6b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))
0.5b
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
0.3b
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×sub-neg
1×associate-/l/
Calls
4 calls:
Slowest
6.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))
5.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
5.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

series1.0ms

Calls
4 calls:
Slowest
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))
0.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
0.0ms
(-.p16 (*.p16 b_2 b_2) (*.p16 c a))

simplify1.2s

Calls
5 calls:
Slowest
514.0ms
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2))
238.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
200.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
149.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)
133.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) a)

prune345.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.1b

localize549.0ms

Local error

Found 4 expressions with local error:

2.1b
(/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))
1.7b
(-.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))) b_2)
0.6b
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a))))
0.5b
(/.p16 (-.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))) b_2) a)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
3×p16-flip--
2×associate-/l/
1×sub-neg associate-/l* difference-of-squares
Calls
4 calls:
Slowest
18.0ms
(/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))
5.0ms
(/.p16 (-.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))) b_2) a)
3.0ms
(-.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))) b_2)
0.0ms
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a))))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))
0.0ms
(-.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))) b_2)
0.0ms
(sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a))))
0.0ms
(/.p16 (-.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))) b_2) a)

simplify1.8s

Calls
3 calls:
Slowest
931.0ms
(-.p16 (*.p16 (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (sqrt.p16 (/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 c a) (*.p16 c a))) (+.p16 (*.p16 b_2 b_2) (*.p16 c a))))) (*.p16 b_2 b_2))
904.0ms
(-.p16 (*.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2))) (*.p16 (*.p16 (*.p16 c a) (*.p16 c a)) (*.p16 (*.p16 c a) (*.p16 c a))))
7.0ms
(+.p16 (*.p16 b_2 b_2) (*.p16 c a))

prune341.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.0b

localize346.0ms

Local error

Found 4 expressions with local error:

3.9b
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2))
1.4b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.7b
(/.p16 (-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2)) (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
0.6b
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
2×p16-flip-- difference-of-squares
1×+-commutative sub-neg associate-/l* associate-/l/
Calls
4 calls:
Slowest
9.0ms
(/.p16 (-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2)) (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
6.0ms
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2))
5.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2))
0.0ms
(/.p16 (-.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 b_2 b_2)) (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
0.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))

simplify597.0ms

Calls
4 calls:
Slowest
176.0ms
(-.p16 (*.p16 (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a)))) (*.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))))) (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)))
172.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
136.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
111.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

prune607.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 2.0b

localize494.0ms

Local error

Found 4 expressions with local error:

1.7b
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
1.4b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
1.4b
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.7b
(*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
3×sub-neg
2×+-commutative p16-flip--
1×distribute-rgt-in distribute-lft-in associate-*r/ *-commutative
Calls
4 calls:
Slowest
15.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
10.0ms
(*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
5.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
3.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
0.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

simplify2.5s

Calls
11 calls:
Slowest
613.0ms
(*.p16 (neg.p16 b_2) (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2))
542.0ms
(*.p16 (+.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2) (neg.p16 b_2))
266.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
264.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
157.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)

prune647.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.0b

regimes1.3s

Accuracy

-∞% (-61.7b remaining)

Error of 2.3b against oracle of 64.0b and baseline of 64.0b

bsearch1.0ms

end0.0ms

sample7.1s

Algorithm
halfpoints
Results